Linear Functions Lecture Vocabulary

Vocabulary flashcards defining key terms related to identifying, graphing, and analyzing linear functions based on the provided lecture notes.

Linear Equation in Two Variables

An equation in variables $x$ and $y$ that can be written in the form $y = mx + b$ where $m$ and $b$ are constants.

Linear Function

A function whose graph is a nonvertical line and has a constant rate of change.

Nonlinear Function

A function that does not have a constant rate of change, resulting in a graph that is not a line.

Solution of a Linear Equation in Two Variables

An ordered pair $(x, y)$ that makes the equation true.

Graph of a Linear Equation in Two Variables

The set of points $(x, y)$ in a coordinate plane that represents all solutions of the equation.

Unspecified Domain

When the domain of a linear function is not specified or obtained from a real-life context, it is understood to be all real numbers.

Discrete Domain

A domain where the points of the function are distinct and not connected on a graph.

Continuous Domain

A domain where the points of the function are connected on a graph.

Constant Rate of Change

A property of linear functions where the change in $y$ relative to the change in $x$ is always the same.